Wolfe Type Duality for Nonsmooth Optimization Problems with Vanishing Constraints

Nader kanzi, Kamal Fallahi, Marjan Ghobadzadeh

Abstract


‎In this paper‎, ‎we formulate and study the duality problems in Wolfe type for the mathematical programs with vanishing constraints in nonsmooth case‎, ‎whereas Mishra \emph{et al.} (Ann Oper Res 243(1):249–272‎, ‎2016) investigated it in smooth case‎. ‎Also‎, ‎we derive the weak‎, ‎strong‎, ‎strict converse duality results for the problems with Lipschitzian data utilizing Clarke subdifferential‎.

Keywords


Vanishing constraints, Duality results, Optimality conditions, Clarke subdifferential, Constraint qualification

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